   Chapter 3.3, Problem 8E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# For Exercises 1 to 8, use the accompanying drawing. If V U ¯ ≅ V T ¯ and m ∠ V = 40 ° , find m ∠ T . To determine

To find:

The value of mT.

Explanation

Procedure used:

(1) If two sides of a triangle are congruent then angles corresponding to the sides are also congruent to each other.

(2) The sum of measure of angles of a triangle is equal to 180°.

Given:

The given triangle is,

Figure (1)

And,

VU¯VT¯, mV=40°.

Calculation:

Consider the triangle with congruent sides VU¯ and VT¯.

Figure (2)

Equate sum of measure of angles of triangle to 180°

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